Generating QES potentials supporting zero energy normalizable states for an extended class of truncated Calogero Sutherland model

Autor:	Yadav, Satish, Shekhar, Sudhanshu, Bagchi, Bijan, Mandal, Bhabani Prasad
Rok vydání:	2024
Předmět:	Quantum Physics High Energy Physics - Theory Mathematical Physics Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	It is commonly held that quantum states with energy $E = 0$ would belong to the continuum. However, several situations have been reported when a zero-energy state becomes bound subject to certain restrictions on the coupling constants defining the potential. In the present work, we present another evidence of the existence of regular zero-energy normalizable solutions for a system of QES potentials that correspond to rationally extended many-body truncated Calogero-Sutherland model. Our procedure is based upon the potential group approach with an underlying so$(2, 1)$ structure that utilizes the three cases guided by it on profitably carrying out a point canonical transformation. We deal with each case separately by suitably restricting the coupling parameters. Comment: 12 Pages, 4 Figs
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.09164 Zobrazit plný text záznamu View this record from Arxiv